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Tuesday, July 06, 2010

Little's Law


This is a technical post so disregard it if it doesn't interest you.  I tend to do this on occasion when I am inspired and wantto save something for posterity sake.

Following this weekends joyous Fourth of July celebrations, we decided to order dinner from one of our favorite restaurants so we called Bamboo Thai Bistro.  Naturally, we opted for delivery and after one hour of waiting and no delivery guy in sight, I decided to drive out and get us some hamburgers from In-N-Out.

Little's Law or theory was in effect!  With most people having barbecued themselves out over the 4th of July, I imagine the restaurant probably received more orders for delivery than they had the capacity to handle.  This  resulted in system instability and eventual crash or breakdown for the poor little restaurant.

The queuing theory states:The long-term average number of customers in a stable system L is equal to the long-term average arrival rate, λ, multiplied by the long-term average time a customer spends in the system, W, or: L = λW

End of rant!




2 comments:

  1. Therefor per Little's Law inn-n-out (INO) greater than bamboo thai bistro (BTB) in terms of stability (St) so;
    St = INO > BTB

    but given INO was a secondary choice (plan B) BTB is likely greater in terms of palate superiority ( Ps) and Ps is always plan A so;

    Plan A= Ps = BTB > INO

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